Answer:12
Step-by-step explanation:
1. The given rectangular equation is 
.
We substitute 
.
Divide through by 
2. The given rectangular equation is:
This is the same as:
We use the relation 
This implies that:
3. The given rectangular equation is:
This is the same as:
We use the relation and 
This implies that:
Divide through by r
4. We have 
We substitute and
This implies that;
5. We have 
We substitute and
This implies that;
Answer:
$9$
Step-by-step explanation:
Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.
To find: number that Thea originally entered
Solution:
The final number is $243$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $243$ must be $324$.
As previously the number was squared, so the number before $324$ must be $18$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $18$ must be $81$
As previously the number was squared, so the number before $81$ must be $9$.
Angles 8 and 15 are supplementary.
